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Finding the Fourth Proportional to 5,206.22, 7,797.06 and 4,518.50

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Solution

The fourth proportional to 5,206.22, 7,797.06 and 4,518.50 is: 6,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.22 : 7,797.06 = 4,518.50 : x
  2. Step 2: Convert to fraction form
    5,206.22/7,797.06 = 4,518.50/x
  3. Step 3: Cross multiply
    5,206.22x = 7,797.06 × 4,518.50
  4. Step 4: Simplify right side
    5,206.22x = 35,231,015.61
  5. Step 5: Solve for x
    x = 35,231,015.61/5,206.22
  6. Step 6: Final answer
    x = 6,767.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.